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BITSAT2013MathematicsBinomial TheoremActual

The coefficient of the middle term in the expansion of (2+3 x )⁴ is:

Options

  1. A6
  2. B5 !
  3. C8 !
  4. D216

Correct answer

D. 216

Step-by-step solution

When exponent is n then total number of terms are n +1 . So, total number of terms in (2+3 x)⁴=5 Middle term is 3rd. T ₃= ⁴ C ₂(2)² (3 x )² = 4 3 2 1 2 1 2 4 9 x ²=216 x ²

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